Error 44 is not listed but likely a hardware issue. Try Recovery Mode again as shown at bottom.
If you see an error when you update or restore your iPhone, iPad, or iPod - Apple Support
Here's what to check for hardware issues:
Make sure that you have the latest version of iTunes.
Check for issues with third-party security software.
Make sure that your USB cable, computer, and network are reliable. Then try twice more to restore your iPhone, iPad, or iPod.
If you still see the error message, you can check for outdated or modified software or contact Apple Support.
Recovery Mode:
Connect your device to your computer and open iTunes.
While your device is connected, force restart it: Press and hold both the Sleep/Wake and Home button for at least 10 seconds, and don't release when you see the Apple logo.
Keep holding until you see the recovery mode screen and wait for it to restore.
You may have to do the above more than once as recovery mode is difficult to get into.
Restore as New first and test it. Then restore from backup if desired. If the backup is corrupted it will likely bring back the issue.
https://support.apple.com/en-us/HT201263